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Online ISSN 1552-4485; Print ISSN 0033-569X
Continuous dependence and differentiability properties of the solution of a free boundary problem for the heat equation
Author:
B. Sherman
Journal:
Quart. Appl. Math. 27 (1970), 427-439
DOI:
https://doi.org/10.1090/qam/509051
MathSciNet review:
509051
Full-text PDF Free Access
References | Additional Information
- J. R. Cannon and Jim Douglas Jr., The stability of the boundary in a Stefan problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 21 (1967), 83–91. MR 269998
- J. R. Cannon and C. Denson Hill, Existence, uniqueness, stability, and monotone dependence in a Stefan problem for the heat equation, J. Math. Mech. 17 (1967), 1–19. MR 0270000, DOI https://doi.org/10.1512/iumj.1968.17.17001 A. Friedman, Free boundary problems for parabolic equations, I, II, III, J. Math. Mech. 8, 483–498 (1959); ibid. 9, 19–66 (1960); ibid. 9, 327–345 (1960)
- Avner Friedman, Partial differential equations of parabolic type, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0181836 Jiang Li-Shang, Existence and differentiability of the solution of a two-phase Stefan problem for quasilinear parabolic equations, Chinese Math. 7, 481–496 (1966)
- B. Sherman, A free boundary problem for the heat equation with prescribed flux at both fixed face and melting interface, Quart. Appl. Math. 25 (1967), 53–63. MR 213104, DOI https://doi.org/10.1090/S0033-569X-1967-0213104-3 B. Sherman, Continuous dependence of the solution on the data in a free boundary problem for the heat equation, Rocketdyne Research Rep. 67–8 (1967)
Additional Information
Article copyright:
© Copyright 1970
American Mathematical Society